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          <p><a href="https://www.zhihu.com/question/314879954/answer/638380202" target="_blank">知乎中比较给力的入门(附代码)</a></p><p><a href="https://www.jianshu.com/p/39abd0b5d7aa?utm_campaign=haruki&amp;utm_content=note&amp;utm_medium=reader_share&amp;utm_source=weixin&amp;from=singlemessage" target="_blank">Python创建简单的神经网络（附代码）</a></p><p><a href="https://www.jianshu.com/p/dc206498104d?utm_campaign" target="_blank">用Python打造自己的神经网络</a></p><hr id="null"><p>需要用到的python知识:</p><p><a href="https://blog.csdn.net/weixin_37887248/article/details/80437270" target="_blank">1 类class和self</a></p><p>2 调用numpy的原因:</p><blockquote><p>（1）矩阵:<br>a=np.array([a,b])<br>b=np.array([[a11,a12],[a21,a22]]<br>c=np.random.randint(0,10,size(5,3))#[0,10)的随机整数矩阵</p></blockquote><blockquote><p>（2）矩阵乘法或者向量点积<br>np.dot(a,b)</p></blockquote><blockquote><p>（3）指数函数<br>np.exp(x)</p></blockquote><hr id="null"><h1>具体过程:</h1><p>（1）构建网络</p><p>（2）喂入数据并得到代价函数L（w，b）（单个数据成为损失函数）</p><p>（3）通过迭代梯度下降得到使得代价函数最小的（w，b）的点。</p><hr id="null"><p>If you are interested in this topic.﻿<br></p><p>You can get in touch with me.﻿</p><p>18234056952(Tel  wechat  qq)</p>
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          <h1><b>正向Hirota双线性化(p=2)</b></h1><div class="image-package">
<img name="-546057356-1556349042587" src="http://upload-images.jianshu.io/upload_images/17163699-1815a765be00565f.jpg?imageMogr2/auto-orient/strip%7CimageView2/2/w/1080/q/50"><br><div class="image-caption">u    →    f    →  D</div>
</div><h1>推广的双线性化(p=3)﻿<br>
</h1><div class="image-package">
<img name="-1094894601-1556349814934" src="http://upload-images.jianshu.io/upload_images/17163699-5dd3216b6f50cee9.jpg?imageMogr2/auto-orient/strip%7CimageView2/2/w/1080/q/50"><br><div class="image-caption">D→f</div>
</div><h1>逆向双线性化﻿<br>
</h1><div class="image-package">
<img name="646194900-1556350755617" src="http://upload-images.jianshu.io/upload_images/17163699-50e779d3c3bc7ab1.jpg?imageMogr2/auto-orient/strip%7CimageView2/2/w/1080/q/50"><br><div class="image-caption">f→u</div>
</div><hr><blockquote>
<p>#正向双线性化<br>restart:<br>with(PDETools): alias(u = u(x, y, z, t), f = f(x, y, z, t), A = A(x, y, z, t))</p>
<p>#输入方程<br>eq1 := 3*(Diff((diff(u, x))*(diff(u, y)), x))+diff(u, t, y)+diff(u, x, t)+diff(u, t, t)-(diff(u, z, z))<br>#(1)代入u=2(A)x   (A=lnf 此处先不代入化简,对应于前面的手算图纸）<br>eq2 = u = 2*(diff(A, x))<br>eq3 := dsubs(eq2, eq1)<br>#(2)对x积分<br>eq4 := int(eq3, x)<br>#(3)化简(两边同乘f^2)<br>eq5 := simplify(dsubs(A = ln(f), eq4*f^2))</p>
<p>#简化一下方便肉眼观查(此处也可以调用fafa函数包)<br>subs({(diff(f, z))^2 = f[z], diff(f, t) = f[t], diff(f, x) = f[x], diff(f, y) = f[y], diff(f, t, t) = f[tt], diff(f, x, t) = f[xt], diff(f, x, x) = f[xx], diff(f, y, t) = f[yt], diff(f, y, x) = f[yx], diff(f, z, z) = f[zz], diff(f, x, x, x) = f[xxx], diff(f, y, x, x) = f[yxx], diff(f, y, x, x, x) = f[yxxx]}, eq5)<br>#去系数<br>simplify((1/2)*%)</p>
</blockquote><hr><blockquote>
<p>#逆向双线性化<br>restart:<br>with(PDETools): alias(u = u(x, y, z, t), f = f(x, y, z, t), A = A(x, y, z, t))</p>
<p>#输入方程<br>eq1 := 3*(Diff((diff(u, x))*(diff(u, y)), x))+diff(u, t, y)+diff(u, x, t)+diff(u, t, t)-(diff(u, z, z))<br>#(1)除以f^2<br>#(2)对x求导<br>eq2 := diff(eq1/f^2, x)<br>#(3)u=2(lnf)x逆运算 f=。。。参见手算图纸<br>eq3 := f = exp(int((1/2)*u, x))<br>AA := dsubs(eq3, eq2)</p>
<p>#令Vy=Ux<br>BB := subs(int((1/2)*(diff(u, y)), x) = (1/2)*v, AA)<br>#简化一下方便肉眼观查(此处也可以调用fafa函数包)<br>subs({diff(u, x) = u[x], diff(u, y) = u[y], diff(u, t, t) = u[tt], diff(u, x, t) = u[xt], diff(u, x, x) = u[xx], diff(u, y, t) = u[yt], diff(u, y, x) = u[yx], diff(u, z, z) = u[zz]}, 2*BB)</p>
</blockquote><hr><p>代码链接<a href="https://share.weiyun.com/533ej5g" target="_blank">https://share.weiyun.com/533ej5g</a></p><hr><p>另外附上fafa函数包：主要是为了减轻工作量而设计<br>主要有2个内容构成<br>1  D  →f（只需要输入双线性算子 即可得到 双线性形式）<br>2 f_x → df/dx (方便简便的输入双线性形式，反之直观的查看Maple结果)<br>使用方法见下图：</p><div class="image-package">
<img name src="http://upload-images.jianshu.io/upload_images/17163699-75b35b89723ba491.png?imageMogr2/auto-orient/strip%7CimageView2/2/w/1240"><br><div class="image-caption">fafa函数包使用方法</div>
</div><hr id="null"><p>If you are interested in this topic.﻿<br>You can get in touch with me.﻿<br>18234056952(Tel  wechat  qq)</p>
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            <p>#一. 自动生成左侧目录(个人浏览器挂件)<br>1 安装<a href="http://sh.qihoo.com/pc/975192d9c53ef6491?cota=4&amp;tj_url=so_rec&amp;sign=360_e39369d1&amp;refer_scene=so_1" target="_blank" rel="noopener">tampermonkey</a>插件<br>2 <a href="https://www.jianshu.com/p/ef9e3fe143c3" target="_blank" rel="noopener">编辑</a>插件</p>
<p>#二. 自动生成目录(简书写作)</p>
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            <p>#1. 对”姓名”列 <a href="https://nbviewer.jupyter.org/gist/rainfa/eaede023104c99feffe6f658c9d1cd5f" target="_blank" rel="noopener">计数</a></p>
<h2 id="2-合并两列–逗号分隔-最值"><a href="#2-合并两列–逗号分隔-最值" class="headerlink" title="#2. 合并两列–逗号分隔+最值"></a>#2. 合并两列–<a href="https://nbviewer.jupyter.org/gist/rainfa/f6ee6cfb1e5f11afdc52a896d2b6aad0" target="_blank" rel="noopener">逗号分隔+最值</a></h2><p>最后介绍如何在博客展示Jupyter notebook：<br>方案1: <a href="https://www.jianshu.com/p/ff48ea53b78a" target="_blank" rel="noopener">github+nbviewer</a>(gist被墙<a href="https://blog.csdn.net/qq_41711507/article/details/83065948" target="_blank" rel="noopener">怎么办</a>)</p>
<h2 id="方案2-使用码云"><a href="#方案2-使用码云" class="headerlink" title="方案2: 使用码云 "></a>方案2: <a href="https://www.jianshu.com/p/16c4c38861bd" target="_blank" rel="noopener">使用码云</a> </h2><p>If you are interesting in this topic.<br>You can get in touch with me.<br>18234056952(Tel  wechat  qq)</p>

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<div class="post">

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            <a href="/2019/05/20/user-17163699-1558319415/Jupyter-Notebook/Jupyter-Notbook/">
                Untitled
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                <span class="date">2019-05-20</span>
            
            
            
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            <p>让PIP源使用国内镜像<a href="https://www.cnblogs.com/microman/p/6107879.html" target="_blank" rel="noopener">提升下载速度和安装成功率</a></p>
<p>五个最常用的Jupyter Notebook<a href="https://www.jianshu.com/p/bc72f8cfe0a3" target="_blank" rel="noopener">扩展</a><br>主题字体风格切换<a href="https://www.itcodemonkey.com/article/8938.html" target="_blank" rel="noopener">快速下载方法</a><br><a href="https://blog.csdn.net/qm5132/article/details/82804840" target="_blank" rel="noopener">Jupyter实现所选变量高亮显示</a></p>
<h2 id="jupyter-notebook导出pdf并支持中文"><a href="#jupyter-notebook导出pdf并支持中文" class="headerlink" title="jupyter notebook导出pdf并支持中文"></a>jupyter notebook<a href="https://www.jianshu.com/p/6b84a9631f8a" target="_blank" rel="noopener">导出pdf并支持中文</a></h2><p>If you are interesting in this topic.<br>You can get in touch with me.<br>18234056952(Tel  wechat  qq)</p>

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